Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12216/267
Title: Iterated function systems with place-dependent probabilities and the inverse problem of measure approximation using moments
Authors: La Torre, D. 
Maki, E. 
Mendivil, F. 
Vrscay, E.R. 
Issue Date: Oct-2018
Publisher: World Scientific Publishing Co. Pte Ltd
Journal: Fractals 
Abstract: We are concerned with the approximation of probability measures on a compact metric space (X,d) by invariant measures of iterated function systems with place-dependent probabilities (IFSPDPs). The approximation is performed by moment matching. Associated with an IFSPDP is a linear operator A: D(X) → D(X), where D(X) denotes the set of all infinite moment vectors of probability measures on X. Let μ be a probability measure that we desire to approximate, with moment vector g = (g0,g1,...). We then look for an IFSPDP which maps g as close to itself as possible in terms of an appropriate metric on D(X). Some computational results are presented. © 2018 World Scientific Publishing Company.
URI: http://hdl.handle.net/20.500.12216/267
DOI: 10.1142/S0218348X18500767
Appears in Collections:Articles

Show full item record

SCOPUSTM   
Citations

1
Last Week
0
Last month
0
checked on Aug 14, 2019

Page view(s)

1
Last Week
0
Last month
0
checked on Aug 5, 2019

Google ScholarTM

Check

Altmetric

Altmetric


Items in Corepaedia are protected by copyright, with all rights reserved, unless otherwise indicated.